When looking at a map of the universe, I see a bunch of strings throughout the image. What are they and why are they there?
This is just the
Laniakea supercluster of galaxies (Is the supercluster where the Milky Way is located and some 100.000 other galaxies). Important to note the difference between these structures and
the large scale structure of the universe.
When you see images like this:

You are seen the large scale structure of the universe, with tens or hundreths of millions of galaxies. In that case, the filaments you are seeing are actual physical structures, bridges made of hundreds of galaxies connecting galactic superclusters (the nodes of the network). The foam-like appearence (made by filaments, voids and clusters) is a consequence of the behaviour of gravity at these huge scales when matter is spread very evenly across vast distances. We have seen these filaments form also in large simulations like this one:
[youtube]xfgDoExbu_Q[/youtube]
The filaments shown in your picture of Laniakea is something different.
Those lines do not represent actual physical structures but are field lines. What field? The velocity field of each individual galaxy of this region under the gravitational potential in this particular portion of the universe. They were drawn for the Nature magazine cover for the discovery of Laniakea to show how we expect galaxies of our extended galactic neightbourhood to move in the next billion years. The red dot marks where the Milky way is located. Laniakea is basically defined as the galaxies that in a non expanding universe would collapse towards the so called
Great Atractor (a region with overdensity of galaxies). The lines are almost the paths each galaxy of laniakea would take to get there (if the universe was not expanding). You can see in the bottom-right corner and top-left corner of your image that there are other lines, disconnected from the central system; those are neighbouring galactic superclusters, adyacent to Laniakea (a galaxy there is bound to another system of galaxies).
The best way to quickly grasp something about how cosmologists visualize these things is to watch this awesome video:
[youtube]NrMubFvV-VU[/youtube]
In the minute 11:45 they show how these field lines are generated.
Also, a video with identical visualization tools was made for the Laniakea discovery:
[youtube]rENyyRwxpHo[/youtube]
I probably said something wrong. But since
Watsisname is a cosmologist maybe he can tell us more.
